Finding the Third Proportional to 216,952 and 471,222
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Solution
The third proportional to 216,952 and 471,222 is: 1,023,499.08
Step by Step Solution
- Step 1: Write the proportion equation
216,952 : 471,222 = 471,222 : x - Step 2: Convert to fraction form
216,952/471,222 = 471,222/x - Step 3: Cross multiply
216,952x = 471,222 × 471,222 - Step 4: Simplify right side
216,952x = 222,050,173,284 - Step 5: Solve for x
x = 222,050,173,284/216,952 - Step 6: Final answer
x = 1,023,499.08
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.